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Finding the Fourth Proportional to 6,011, 9,012.17 and 2,722.40

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Solution

The fourth proportional to 6,011, 9,012.17 and 2,722.40 is: 4,081.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,011 : 9,012.17 = 2,722.40 : x
  2. Step 2: Convert to fraction form
    6,011/9,012.17 = 2,722.40/x
  3. Step 3: Cross multiply
    6,011x = 9,012.17 × 2,722.40
  4. Step 4: Simplify right side
    6,011x = 24,534,731.61
  5. Step 5: Solve for x
    x = 24,534,731.61/6,011
  6. Step 6: Final answer
    x = 4,081.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.